Answers
Given:
The table of values for the function f(x).
To find:
The equation for the function f(x).
Solution:
From the given table it is clear that the function passes through the point (0,5) and (1,8). So, the equation of the linear function that passes through the (0,5) and (1,8) is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-5=\dfrac{8-5}{1-0}(x-0)[/tex]
[tex]y-5=\dfrac{3}{1}x[/tex]
[tex]y=3x+5[/tex]
The function notation is:
[tex]f(x)=3x+5[/tex]
Therefore, the required function is [tex]f(x)=3x+5[/tex].
Related Questions
4x + 8 - 9x = -17 what is x\
and the x has to be the same for each
Answers
Answer:
x = 5
Step-by-step explanation:
4x + 8 - 9x = -17
combine like terms:
-5x = -25
divide both sides of the equation by -5:
x = 5
Answer:
x=5
Step-by-step explanation:
4x-9x+8=-17
-5x+8=-17
subtract 8 from both sides and you get:
-5x=25
divide 5 from both sides, and you get x=5! :)
Robert takes out a loan for $7200 at a 4.3% rate for 2 years. What is the total paid amount at the end of the loan?
Answers
Answer:
$7819.20
Step-by-step explanation:
total paid amount at the end of the loan= loan taken + interest on the loan
loan taken = $7200
interest on the loan can be determined using this formula
Interest = principal x intrest rate x time
7200 x 0.043 x 2 = $619.20
total paid amount at the end of the loan= $7200 + $619.20 = $7819.20
How many deli sandwiches did she make?
Please help me.
Answers
Answer: 6 sandwiches
Step-by-step explanation:
To get the amount of roast beef that Marissa used you would have to subtract 2 3/4 from 5...which is 2.25 pounds of beef that she used.
Then you would divide 2.25 by 3/8 which is 6... meaning Marisa made 6 sandwiches!
What is the measure of ∠x? Please help!!
Answers
Answer:
73
Step-by-step explanation:
180-107=73
In AFGH, the measure of ZH=90°, the measure of ZF=44°, and GH = 14 feet. Find the length of HF to the nearest tenth of a foot.
Answers
Answer:
115.7 feet
Step-by-step explanation:
to insure goods to send them overseas it costs the exporter 5/2% of the value of the goods. if the goods are valued at 16.400$, what will be the insurance cost?
Answers
Answer:
The insurance costs to send goods valued at $16,400 is $410
Step-by-step explanation:
The amount it costs an exporter to insure goods to send overseas = (5/2)% of the value of the goods
Therefore;
The insurance costs, 'C' to send goods valued at $16,400 is given as follows;
C = $16,400 × (5/2)/100 = $410
The insurance costs to send goods valued at $16,400 = $410
Mrs Riley drove her car at 60 miles in 4 hours How far did she travel in 1 hour
Answers
Answer:
15 miles
Step-by-step explanation:
If 4 hours = 60 miles
1 hour = ?
(cross multiplication)
60/4
= 15 miles
A rational number that lies between -2/3 and 5/12
Answers
A rational number is any number that can be expressed by 2 integers
A customer bought 2/3 pound of roast beef and 1/2 pound of cheese at the deli. What is the ratio of roast beef to cheese?
Answers
Answer:
4/3
Step-by-step explanation:
2/3 divided by 1/2
2/3 times 2/1
2 times 2 is 4
3 times 1 is 3
final answer: 4/3
The Ratip is 4:3
If anyone is really good at math please help
Answers
Answer:
248 + 7x = 360
Step-by-step explanation:
x = 16
For the function, f(x) =1/4 x - 2, find x if f(x) = -1.
Answers
Answer:
x = 4Step-by-step explanation:
Given function
f(x) =1/4 x - 2Find x if f(x) = -1
1/4x - 2 = - 11/4x = 2 - 11/4x = 1x = 1*4x = 4Answer:
x=4
Step-by-step explanation:
f(x) =1/4 x - 2 when f(x) = -1.
-1=1/4x-2
-1+2=1/4 x
1×4=x
x=4
What is the range of the function shown in the graph below?
Answers
I don't know what to do
Answers
Answer:
Step-by-step explanation:
Answer:
a. 1.59cm
b. 1.99cm²
mark me as brainliest
357 miles in 7 hours. How many miles per hour
Answers
Answer:
34
Step-by-step explanation:
Answer
34
step-by-step explanation:
depending how much traffic
help plz help plzzzz
Answers
Answer:
x = 15/4
x = - 9
Please help some math!!!! its not -2/3
Answers
Answer:
2/3
Step-by-step explanation:
negative divided by a negative is positive
Answer:
D. 2/3
Step-by-step explanation:
The y increases by 2 every time the x increases by 3. Use rise over run.
The measures of the angles of a quadrilateral in degrees are 70, 95, and 136. Determine the measure of the missing angle.
Answers
Answer:
let missing Angle be x
x+70+95+136=360 sum of interior angle of quadrilateral is 360
x+301=360
x=360-301=59°
therefore the measure of the missing angle is 59°
PLEASE HELP DUE AT MIDNIGHT
Answers
Who can help me out on this please??
Answers
Answer:
no
Step-by-step explanation:
4+6 does not equal 12 so there for it is incorrect
Put these fractions in order from smallest to largest 3/10 2/5 3/8
Answers
3/10 , 3/8 , 2/5
that's all
Brad read that you should drink at least 2 quarts of water a day. Yesterday he drank 3 cups in the morning, 1 quart in the afternoon, and 1 pint in the evening. Did Brad drink at least 2 quarts of water? Explain.
Answers
Answer:
yes he drank 2.25 quarts
Step-by-step explanation:
convert the cups to quarts
1 cup = 0.25 quarts
3 cups x 0.25 = 0.75 quarts
convert the pints to quarts
1 pint = 0.5 quarts
add all the amount of water drank together
0.75 quarts + 1 quart + 0.5 quarts = 2.25 quarts
This is proportional, (Proportional means it has an equivalent ratio/constant rate of change/the same rate) y = 12x
Answers
Answer:
Hence, the equation is proportional.
Step-by-step explanation:
To test for proportionality ;
y = 12x
For a proportional relationship ;
y α x
y = kx ; where, k is the constant of proportionality.
From. The equation given
y = 12x ; 12 is thw proportionality constant.
What is the area, in square centimeters, of the figure below?
5.2 cm 7.6 cm
A. 9 cm?
B. 12.8 cm?
C. 19.76 cm?
D. 39.52 cm?
Answers
Answer: 39.52 cm
Step-by-step explanation: If you multiply 5.2 and 7.6 you would get 39.52 cm.
PLEASE HELP -> Write a slope-intercept equation for a line that passes through (-4, 7.3) and (0,7.3).
The slope-intercept equation for the line is
(Use integers or decimals for any numbers in the equation.)
Answers
Answer:
y=7.3
Step-by-step explanation:
with the two points, you could find the point-slope equation...
y−7.3=0⋅(x+4)
this is y=7.3
there is no slope-intercept equation for this because both of the points are on the same horizontal line. Equations that are written in slope-intercept form are never horizontal or vertical.
2. The Andersons went to dinner at
The Cheesecake Factory. If their
dinner cost $42 and they left a 16%
tip, how much did they leave for the
tip?
Answers
42 x 0.16 = 6.72
PLEASE HELP!
Hello! I'm having a lot of trouble figuring out these problems. I'm not asking for all of the answers but, just a better understanding. Thank you!
Answers
Answer:
1) 4
2)I think 2
3)4
4)3
5)2
6)1
7)3
Step-by-step explanation:
1) since the x is to squared it is a quadratic equation
3) A and D have same slope=0.5
others were solved using Excel
Simplify 55÷5×2^3÷4 HELP I WILL FAIL
Answers
[tex]55 \div 5 \times 2^{3} \div 4[/tex]
using pemdas do:
exponents first:
2x2x2=8
[tex]55 \div 5 \times 8 \div 4[/tex]
then divide and multiply from the left to right and the equation will equal:
[tex]22[/tex]
20 POINTS I could really use some help
Answers
Answer:
its 10 points...
Step-by-step explanation:
but b
8
Which expression is equivalent to 4.8 + 2.2w – 1.4w + 2.4?
Answers
Answer:
7.2 + 0.8w
Step-by-step explanation:
Combine like terms.
Here Like terms: i) 2.2w and (-1.4w)
II) 4.8 and 2.4
4.8 + 2.2w - 1.4w + 2.4 = 4.8 + 2.4 + 2.2w - 1.4w
= 7.2 + 0.8w
If A D and C F, which additional statement does NOT allow you to conclude that AABC = ADEF?
Answers
Answer:
B
Step-by-step explanation:
i think its b because all the other answers are talking about the sides but b is talking about the angles which in the question it states angles (A,D,C, and F) so going off an educated guess i would say the answer is b i dont know if its correct or not though.